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The exact solution of a class of Volterra integral equation with weakly singular kernel

Applied Mathematics and Computation, 2011
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Zhong Chen 0008, Wei Jiang 0012
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Numerical solution of a linear fuzzy Volterra integral equation of the second kind with weakly singular kernels

Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2022
Zahra Alijani, Urve Kangro
semanticscholar   +1 more source

Resolvents for weakly singular kernels and fractional differential equations

Nonlinear Analysis: Theory, Methods & Applications, 2012
The resolvent matrix equation \[ R(t,s) = B(t,s) + \int\limits_s^t B(t,u) R(u,s) du, \] where \(B(t,s)\) denotes a given weakly singular matrix is studied. The solution \(R(t,s)\) is obtained by means of fixed point mappings. The result is a series that begins with some singular terms after which the remainder of the terms defines a continuous function.
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